More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)

Abstract

In this paper we provide strong evidence that there is no ambiguity in the choice of the horizon function underlying the Gribov-Zwanziger action. We show that there is only one correct possibility which is determined by the requirement of multiplicative renormalizability. As a consequence, this means that relations derived from other horizon functions cannot be given a consistent interpretation in terms of a local and renormalizable quantum field theory. In addition, we also discuss that the Kugo-Ojima functions $u(p^2)$ and $w(p^2)$ can only be defined after renormalization of the underlying Green function(s).

16 pages, some typo's corrected

References in corpus (16)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Non-perturbative comparison of QCD effective charges
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework
• Gribov's horizon and the ghost dressing function
• Two loop MSbar Gribov mass gap equation with massive quarks
• Studying the infrared behaviour of gluon and ghost propagators using large asymmetric lattices
• Local renormalizable gauge theories from nonlocal operators

Cited by in corpus (28)

• The Gribov problem and QCD dynamics
• Gauge bosons at zero and finite temperature
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• The dynamical origin of the refinement of the Gribov-Zwanziger theory
• Locating the Gribov horizon
• Brout-Englert-Higgs physics: From foundations to phenomenology
• QCD Running Couplings and Effective Charges
• Gribov horizon beyond the Landau gauge
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• A remark on the BRST symmetry in the Gribov-Zwanziger theory
• Relating Gribov-Zwanziger theory to effective Yang-Mills theory
• Gluon confinement, i-particles and BRST soft breaking
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• On bounds and boundary conditions in the continuum Landau gauge
• Accessing the topological susceptibility via the Gribov horizon
• Constructing local composite operators for glueball states from a confining Gribov propagator
• On Gauge Independence for Gauge Models with Soft Breaking of BRST Symmetry
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Local QCD Action at Finite Temperature
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• A mass-deformed BLG theory in Gribov-Zwanziger framework
• Confinement interpretation in a Yang-Mills + Higgs theory when considering Gribov's ambiguity
• Gribov horizon, Polyakov loop and finite temperature
• Confining Potentials
• A modification of Faddeev-Popov approach free from Gribov ambiguity